5 papers
S-limit shadowing is generic for continuous Lebesgue measure preserving circle maps
Jozef Bobok, Jernej Činč, Piotr Oprocha +1
In this paper we show that generic continuous Lebesgue measure preserving circle maps have the s-limit shadowing property. In addition we obtain that s-limit shadowing is a generic…
On Rigid Minimal Spaces
J. P. Boroński, Jernej Činč, Magdalena Foryś-Krawiec
A compact space is said to be minimal if there exists a map such that the forward orbit of any point is dense in . We consider rigid minimal spaces, motivated by…
Topological properties of Lorenz maps derived from unimodal maps
Ana Anušić, Henk Bruin, Jernej Činč
A symmetric Lorenz map is obtain by ``flipping'' one of the two branches of a symmetric unimodal map. We use this to derive a Sharkovsky-like theorem for symmetric Lorenz maps, and…
Prime Ends Dynamics in Parametrised Families of Rotational Attractors
Jan P. Boroński, Jernej Činč, Xiao-Chuan Liu
We provide several new examples in dynamics on the -sphere, with the emphasis on better understanding the induced boundary dynamics of invariant domains in parametrized families…
Folding points of unimodal inverse limit spaces
Lori Alvin, Ana Anušić, Henk Bruin +1
We study the properties of folding points and endpoints of unimodal inverse limit spaces. We distinguish between non-end folding points and three types of end-points (flat, spiral…